Supposing that the length of certain machine parts may be looked upon as a random variable having a normal distribution with a mean of 2.000 cm, and a standard deviation of 0.050 cm. specifically we want to test the null hypothesis µ = 2.000 against alternative hypothesis µ not equal to 2.000, on the basis of mean of a random sample of size 30. If probability of type 1 error is 0.05 what is the probability of type 2 error for µ=2.010?
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